Piskunov's calculus book

During my high school years, I used to study on Piskunov's calculus book, but I never owned a copy, so I am glad that finally I managed to buy one.

When it comes to calculus textbooks, it's hard to find one that strikes the perfect balance between theoretical rigor and practical application. However, Piskunov's calculus book manages to achieve just that, making it an exceptional resource for both students and professionals alike. As an ardent learner of mathematics, I can confidently say that Piskunov's work stands out as a true masterpiece in the field.

From the very first chapter, Piskunov's book captures your attention with its clear and concise explanations. The author effortlessly blends theory and practice, providing a solid foundation in calculus while also showcasing its real-world applications. Whether you're a beginner delving into the world of derivatives and integrals or a seasoned mathematician seeking to deepen your understanding, this book caters to a wide range of mathematical abilities.

One of the key strengths of Piskunov's book lies in its approachable writing style. Complex concepts are broken down into digestible pieces, allowing readers to grasp the intricacies of calculus without feeling overwhelmed. The author's ability to explain abstract ideas through relatable examples and illustrations ensures a smooth learning experience. Furthermore, the gradual progression of topics helps build a strong conceptual framework, reinforcing the fundamentals before moving on to more advanced concepts.

After reading the first chapters about establishing the limit of a function, I thought that it might be fun to collect some of the proposed exercises and provide a fully worked solution to them.

In this post I show some of the basic techniques that are needed for finding the limit of a function, the foundation of calculus that enables the investigation of the behaviour of functions as they approach specific values or infinity. The limit provides insights into the properties, continuity, and convergence of functions, playing a vital role in science and engineering.

You can download the paper here and have fun!

limits.pdf

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